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Simplifying -20p + -4(5 + -6p) = 2(p + -3) + -14 -20p + (5 * -4 + -6p * -4) = 2(p + -3) + -14 -20p + (-20 + 24p) = 2(p + -3) + -14 Reorder the terms: -20 + -20p + 24p = 2(p + -3) + -14 Combine like terms: -20p + 24p = 4p -20 + 4p = 2(p + -3) + -14 Reorder the terms: -20 + 4p = 2(-3 + p) + -14 -20 + 4p = (-3 * 2 + p * 2) + -14 -20 + 4p = (-6 + 2p) + -14 Reorder the terms: -20 + 4p = -6 + -14 + 2p Combine like terms: -6 + -14 = -20 -20 + 4p = -20 + 2p Add '20' to each side of the equation. -20 + 20 + 4p = -20 + 20 + 2p Combine like terms: -20 + 20 = 0 0 + 4p = -20 + 20 + 2p 4p = -20 + 20 + 2p Combine like terms: -20 + 20 = 0 4p = 0 + 2p 4p = 2p Solving 4p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4p + -2p = 2p + -2p Combine like terms: 4p + -2p = 2p 2p = 2p + -2p Combine like terms: 2p + -2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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